2 citations · 3 across the 5 of their papers we have counts for
5 papers
Simple modules for affine nilCoxeter algebras
David J. Benson, Kay Jin Lim
We study the representation theory of the affine nilCoxeter algebra of type , over a field of any characteristic. Our main theorem states that this is a Noe…
The cohomology of the nilCoxeter algebra
David J. Benson
The nilCoxeter algebra of the symmetric group is the algebra over with generators (), satisfying the braid rela…
Projective Modules and Cohomology for Integral Basic Algebras
David J. Benson, Kay Jin Lim
Algebras defined over fields of characteristic zero and positive characteristic usually do not behave the same way. However, for certain algebras, for example the group algebras, t…
Matrices for finite group representations that respect Galois automorphisms
David J. Benson
We are given a finite group , an automorphism of of order , a Galois extension of fields of characteristic zero with cyclic Galois group of or…
Symmetries of Kirchberg algebras
David J. Benson, Alex Kumjian, N. Christopher Phillips
Let A be a separable unital nuclear purely infinite simple C*-algebra satisfying the Universal Coefficient Theorem, and such that the K_0-class of the identity is zero. We prove th…